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2007252 = 2232134289
BaseRepresentation
bin111101010000011010100
310202222102200
413222003110
51003213002
6111004500
723030022
oct7520324
93688380
102007252
111151095
12809730
13553830
143a3712
15299b1c
hex1ea0d4

2007252 has 36 divisors (see below), whose sum is σ = 5465460. Its totient is φ = 617472.

The previous prime is 2007251. The next prime is 2007259. The reversal of 2007252 is 2527002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1153476 + 853776 = 1074^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1677 + ... + 2612.

22007252 is an apocalyptic number.

It is an amenable number.

2007252 is an abundant number, since it is smaller than the sum of its proper divisors (3458208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2007252 is a wasteful number, since it uses less digits than its factorization.

2007252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2007252 is about 1416.7752115279. The cubic root of 2007252 is about 126.1442037582.

The spelling of 2007252 in words is "two million, seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4289 8578 12867 17156 25734 38601 51468 55757 77202 111514 154404 167271 223028 334542 501813 669084 1003626 2007252